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12200100100221 = 311369700003037
BaseRepresentation
bin1011000110001000111010…
…1000011111100001111101
31121012022120221201101222110
42301202032220133201331
53044341301111201341
641540352033404233
72366266565546625
oct261421650374175
947168527641873
1012200100100221
1139840404a5860
121450564a09679
136a6606689057
143026b90b9885
15162545069216
hexb188ea1f87d

12200100100221 has 8 divisors (see below), whose sum is σ = 17745600145824. Its totient is φ = 7394000060720.

The previous prime is 12200100100171. The next prime is 12200100100231.

12200100100221 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12200100100221 - 210 = 12200100099197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12200100100197 and 12200100100206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200100100231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184850001486 + ... + 184850001551.

It is an arithmetic number, because the mean of its divisors is an integer number (2218200018228).

Almost surely, 212200100100221 is an apocalyptic number.

12200100100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12200100100221 is a deficient number, since it is larger than the sum of its proper divisors (5545500045603).

12200100100221 is a wasteful number, since it uses less digits than its factorization.

12200100100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369700003051.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 12200100 and 100221, that added together give a palindrome (12300321).

The spelling of 12200100100221 in words is "twelve trillion, two hundred billion, one hundred million, one hundred thousand, two hundred twenty-one".

Divisors: 1 3 11 33 369700003037 1109100009111 4066700033407 12200100100221